GCD of 782, 685, 734, 673 Calculator

Given Input numbers are 782, 685, 734, 673

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Greatest Common Divisior

We found the divisors of 782, 685, 734, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 685, 734, 673 is 1.

Therefore, GCD of numbers 782, 685, 734, 673 is 1

Given Input Data is 782, 685, 734, 673

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 685 is 5 x 137

Prime Factorization of 734 is 2 x 367

Prime Factorization of 673 is 673

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(782, 685) = 535670

GCD(782, 685) = ( 782 x 685 ) / 535670

GCD(782, 685) = 535670 / 535670

GCD(782, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 673

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 673) = 673

GCD(1, 673) = ( 1 x 673 ) / 673

GCD(1, 673) = 673 / 673

GCD(1, 673) = 1

GCD of 782, 685, 734, 673 is 1

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1. What is the GCD of 782, 685, 734, 673?

GCD of 782, 685, 734, 673 is 1

2. Where do I get the detailed procedure to find GCD of 782, 685, 734, 673?

You can find a detailed procedure to find GCD of 782, 685, 734, 673 on our page.

3. How to find GCD of 782, 685, 734, 673 on a calculator?

You can find the GCD of 782, 685, 734, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.